1/(3x+15)-2/3x=1/(x+5)

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Solution for 1/(3x+15)-2/3x=1/(x+5) equation:



1/(3x+15)-2/3x=1/(x+5)
We move all terms to the left:
1/(3x+15)-2/3x-(1/(x+5))=0
Domain of the equation: (3x+15)!=0
We move all terms containing x to the left, all other terms to the right
3x!=-15
x!=-15/3
x!=-5
x∈R
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: (x+5))!=0
x∈R
We calculate fractions
(3x^2*()/((3x+15)*3x*(x+5)))+(-2*(3x+15)*(x+5)))/((3x+15)*3x*(x+5)))+(-(1*(3x+15)*3x)/((3x+15)*3x*(x+5)))=0
We calculate terms in parentheses: +(3x^2*()/((3x+15)*3x*(x+5))), so:
3x^2*()/((3x+15)*3x*(x+5))
We multiply all the terms by the denominator
3x^2*()
Back to the equation:
+(3x^2*())
We calculate terms in parentheses: +(-2*(3x+15)*(x+5)))/((3x+15)*3x*(x+5)))+(-(1*(3x+15)*3x)/((3x+15)*3x*(x+5))), so:
-2*(3x+15)*(x+5)))/((3x+15)*3x*(x+5)))+(-(1*(3x+15)*3x)/((3x+15)*3x*(x+5))
We add all the numbers together, and all the variables
-2*(3x+15)*(x+5)))/((3x+15)*3x*(x+5)))+(-(1*(3x+15)*3x)/((3x+15)*3x*(x
We multiply all the terms by the denominator
-2*(3x+15)*(x+5)))+15*3x*x*((3x+5))+(-(1*3x*((3x+15)*3x)+15*3x*x*((3x
Wy multiply elements
45x^3*x-2*(3x+15)*(x+5)))+15*3x*x*((3x+5))+(-(1*3x*((3x+15)*3x)
We do not support expression: x^3

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